J4 ›› 2012, Vol. 11 ›› Issue (10): 1-4.

• 数学与计算机科学 •    下一篇

连续自然数幂的二项分解

对根据新定义的二元方数,结合组合数导出连续自然数n 次幂的二项分解,从而得出连续自然数n 次幂的二项分解公
式,并利用其探究了波文猜想。   

  1. 凤凰县两林学区,湖南凤凰 416211
  • 收稿日期:2011-04-21 修回日期:2011-09-30 出版日期:2012-10-15 发布日期:2012-10-15
  • 作者简介:符云锦,主要从事初等数学、分析学及其应用、微分方程、教育理论及其应用研究.

On Binomial Decomposition of Powers of Consecutive Natural Number

Under the new definition of the number of binary side, this paper has explored how to export binomial decomposition of
consecutive natural number to the power of n , in order to lead up to binomial decomposition formula, and then makes use of this formula to probe into Rufus Bowen conjecture.   

  1. Lianglin School District of Fenghuang,Fenghuang, Hunan 416211, China
  • Received:2011-04-21 Revised:2011-09-30 Online:2012-10-15 Published:2012-10-15

摘要:

对根据新定义的二元方数,结合组合数导出连续自然数n 次幂的二项分解,从而得出连续自然数n 次幂的二项分解公
式,并利用其探究了波文猜想。

关键词: dual party number, new triangle, Rufus Bowen conjecture

Abstract:

Under the new definition of the number of binary side, this paper has explored how to export binomial decomposition of
consecutive natural number to the power of n , in order to lead up to binomial decomposition formula, and then makes use of this formula to probe into Rufus Bowen conjecture.

Key words: dual party number, new triangle, Rufus Bowen conjecture

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